Explanation

A man sold two scooters for 24000 each.

Find the cost price of one scooter at gain of 20% :-

C.P = (S.P × 100)/(100 + gain)

= (24000 × 100)/(100 + 20)

= 2400000/120

= 20000

Explanation

A's father = B

C is B's father ⇒ C is A's paternal grandfather

D is A's mother ⇒ D is B’s wife

So, C is father of B, and B is husband of D ⇒ C is father-in-law of D.

Explanation

120 men can do work = 30 days

1 man can do this work = 120 x 30 = 3600 days

80 men can do this work = 3600/80 = 45 days

Explanation

0.05 is equivalent to the fraction 1/20 because 0.05 is the same as 5/100, which simplifies to 1/20.

Explanation

Cost of 15 toys = Rs. 234

Cost of 1 toy = Rs. 234 ÷ 15 = Rs. 15.60

Cost of 35 toys = Rs. 15.60 x 35 = Rs. 546

So, the correct answer is: Rs. 546

Explanation

GP series = 4, 8, 16, 32, ... 512.

FORMULA USED:

Tn = ar(n-1)

SOLUTION:

GP series = 4, 8, 16, 32, ... 512.

Tn = ar(n-1)

⇒ 512 = 4 × 2(n - 1)

⇒ 128 = 2(n - 1)

⇒ 27 = 2(n - 1)

Now comparing powers we obtain;

⇒ n - 1 = 7

⇒ n = 8

Explanation

Total students = 26

Students who like football = 21

Students who like cricket = 14

Let x be the number of students who like both football and cricket.

Using the formula:

(Football ∪ Cricket) = Football + Cricket – Both

So,

26 = 21 + 14 – x

26 = 35 – x

x = 35 – 26

x = 9

Explanation

The pattern of the series appears to be square numbers:

• 1 = 1^2
• 9 = 3^2
• 25 = 5^2
• 49 = 7^2
• 81 = 9^2
• 121 = 11^2

So, the correct completion of the series would be:

1, 9, 25, 49, 81, 121

Explanation

Percentage = (Blue pens / Total pens) × 100 = (9 / 180) × 100 = 5%

Explanation

If a train runs 180 km per hour, how much distance will it travel in 8 hours = 1440

Speed of train  v=180 km/h

Time taken   t = 8 h

So, distance covered by train  D = v t

D=180 × 8

=1440 km